This tool helps you find the center of gravity for a triangle and the center of gravity between two masses. The center of gravity is the point within a body from which you can suspend the body without causing any rotation due to gravity. For uniform materials, the center of gravity coincides with the geometric center, also known as the centroid.
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About this calculator
The Centre of Gravity Calculator is designed to help you find the center of gravity for triangles and between two masses. The center of gravity is the point at which a body can be perfectly balanced under gravity without any resultant rotation. For objects with uniform material distribution, the center of gravity corresponds to the geometric center, often referred to as the centroid.
This calculator is for:
- Structural Engineers: Performing preliminary analyses of load distribution.
- Physics Students: Understanding and applying basic mechanics concepts.
- Design Professionals: Evaluating balance in product or architectural models.
The Centre of Gravity Calculator is a quick and effective tool for general feasibility checks, such as evaluating the symmetry of a structure or mass distribution. While the tool provides immediate results, alternative approaches include manual calculation using geometric principles or employing CAD software for more complex shapes and configurations.
For those interested in diving deeper into the subject, recommended textbooks include:
- Engineering Mechanics: Dynamics by J.L. Meriam and L.G. Kraige
- Statics and Strength of Materials by R.C. Hibbeler
Engineering templates
Common calculators
Design guides
FAQs
What are practical applications of finding the center of gravity?
Applications range from designing stable structures and vehicles to optimizing product ergonomics and load distributions in industrial systems.
How does the center of gravity relate to rotational stability?
A low center of gravity enhances rotational stability, which is crucial for vehicles, buildings in seismic zones, and sports equipment.
Can the center of gravity change in a moving system?
Yes, in dynamic systems like vehicles or moving bodies, the center of gravity can shift due to changes in load distribution or motion.
Learn about the benefits of using CalcTree on engineering projects!
How to verify a calculation
Engineering calculations require clarity, precision, and professionalism. Here are some best practices we use at CalcTree:
- Technical Requirements: Start with boundary conditions, units, sign conventions, and design standards.
- Check the Math: Review the calculation step-by-step. Clarify unusual steps, compare results with hand calculations or tools, and test with multiple examples.
- Peer Review: Have an independent reviewer check for logic, accuracy, and compliance.
For more on verification, see CalcTree’s internal methods.
